Positive solutions in the competitive Lotka-Volterra reaction-diffusion model with advection terms

Ma, Li; Guo, Shangjiang

doi:10.1090/proc/15443

Positive solutions in the competitive Lotka-Volterra reaction-diffusion model with advection terms
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by Li Ma and Shangjiang Guo PDF

Proc. Amer. Math. Soc. 149 (2021), 3013-3019 Request permission

Abstract:

This paper is mainly devoted to the existence and uniqueness, and especially the global asymptotical stability of the coexistence steady state for a competitive Lotka-Volterra reaction-diffusion model with advection term arising in ecology. Our approaches utilized here include the monotone dynamical systems theory, the sub-super solutions method, the principal spectral theory, and some other nontrivial analytic skills.

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